An electric circuit board is to be cooled by forced convection through cooling fins. Heat of 100W needs to be removed from this board from a maximum temperature of 40 degree Celsius above the room air temperature of 20 degree Celsius. The forced convection heat transfer coefficient is 355W/(m2K). Determine the required surface area of the fins. ANSWER IN m2

Respuesta :

Answer:

[tex]A = 0.00704 m^2[/tex]

Explanation:

Amount of heat to be removed, [tex]\dot{Q} = 100 W[/tex]

Change in temperature, [tex]\triangle T = 40^0 C[/tex]

The room air temperature, [tex]T_1 = 20^0C[/tex]

The forced convection heat transfer coefficient, h = 355 W/(m²K)

Required surface area of the fins, A = ?

Given all the above parameters, the surface area of the fins is given by the formula:

[tex]A = \frac{\dot{Q}}{h * \triangle T} \\\\A = \frac{100}{355 * 40}\\\\A = 0.00704 m^2[/tex]